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Finding the Third Proportional to 765,213.19 and 1,668,207.38

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Solution

The third proportional to 765,213.19 and 1,668,207.38 is: 3,636,785.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,213.19 : 1,668,207.38 = 1,668,207.38 : x
  2. Step 2: Convert to fraction form
    765,213.19/1,668,207.38 = 1,668,207.38/x
  3. Step 3: Cross multiply
    765,213.19x = 1,668,207.38 × 1,668,207.38
  4. Step 4: Simplify right side
    765,213.19x = 2,782,915,846,004.39
  5. Step 5: Solve for x
    x = 2,782,915,846,004.39/765,213.19
  6. Step 6: Final answer
    x = 3,636,785.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.